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Control Systems
State Variable Analysis

Practice questions from State Variable Analysis.

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Q#1 State Variable Analysis GATE EC 2025 (Set 1) MCQ +2 marks -0.66 marks

Consider a system where , and  are three internal state signals and  is the input signal. The differential equations governing the system are given by

 

Which of the following statements is/are TRUE?

The signals , and  are bounded for all bounded inputs

There exists a bounded input such that at least one of the signals , , and  is unbounded

There exists a bounded input such that the signals , and  are unbounded

The signals , and  are unbounded for all bounded inputs

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Q#2 State Variable Analysis GATE EC 2024 (Set 1) MSQ +2 marks -0 marks

Consider a system S represented in state space as

Which of the state space representations given below has/have the same transfer function as that of S?

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Q#3 State Variable Analysis GATE EC 2023 (Set 1) MCQ +2 marks -0.66 marks

The state equation of a second order system is  is the initial condition.

Suppose  and  are two distinct eigenvalues of A and  and  are the corresponding eigenvectors. For constants  and , the solution, , of the state equation is

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